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Finding the Fourth Proportional to 23,223.50, 34,835.18 and 6,583.68

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Solution

The fourth proportional to 23,223.50, 34,835.18 and 6,583.68 is: 9,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.50 : 34,835.18 = 6,583.68 : x
  2. Step 2: Convert to fraction form
    23,223.50/34,835.18 = 6,583.68/x
  3. Step 3: Cross multiply
    23,223.50x = 34,835.18 × 6,583.68
  4. Step 4: Simplify right side
    23,223.50x = 229,343,677.86
  5. Step 5: Solve for x
    x = 229,343,677.86/23,223.50
  6. Step 6: Final answer
    x = 9,875.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.